Solving 1
Solving 2
Inequalities
Word Problems
Truth and Solutions
100
1. Copy the work below. Prove the answer by using the inverse operation to show that the equation is balanced.
17+y = 24
y = 7
You will subtract from both sides. (show the steps yourself!)
100
6. Copy this down. Show the inverse operations steps to prove that the answer is correct.
x/17 > 6
x>102
You must show your work for credit
100
11. If x=2, is the inequality x≥1 true or false? Why or why not?
True. You must show your work for credit
100
16. Bella scored p number of points the first round. She also scored 8 points in the second round. This made her total score 39.
1. Write an equation with the variable p that represents this scenario.
2. Then, find the number of points Bella scored the first round.
p+8=39
p=31 points
100
21. Is x=3 a solution to x+4=7? Why or why not?
Yes. You must show your work for credit
200
2. Copy down this equation, then solve it. Show your steps to justify how you know your answer is correct.
13 = y - 78
91 = y
You must show your work for credit
200
7. Copy down this equation, then solve it. Show your steps to justify how you know your answer is correct.
x/3 < 21
x < 63
You must show your work for credit
200
12. Does this represent x>12? Why or why not?
No. You must show your work for credit
200
17. Juan sells raffle tickets at a charity event for $6 each. How many tickets does he have to sell to make $114?
1. Write an equation with the variable "t" that represents this scenario.
2. Then, find the number of tickets sold.
equation:
6*t = 114
or
114/6 = t
Juan has to sell 19 tickets.
200
22. Is a=70 a solution to a+25=92? Why or why not?
No.
You must show your work for credit
300
3. Copy down this equation, then solve it. Show your steps to justify how you know your answer is correct.
43+p=521
p=478
You must show your work for credit
300
8. Copy down this equation, then solve it. Show your steps to justify how you know your answer is correct.
2.1 = 0.5y
y=4.2
You must show your work for credit
300
13. Write an inequality that is represented by this number line.
x<34.5
300
18. John was gifted a pack of crayons. He gave 13 crayons to his friend Rhea and was left with 11 crayons.
1. Write an equation with the variable c that represents this scenario.
2. Then, find the number of crayons the pack contained.
Equation: c-13=11 or c=13+11
The pack contains 24 crayons.
300
23. Is w=13 a solution to w≤13? Why or why not?
Yes. You must show your work for credit
400
4. Copy down this, then solve it. Show your steps to justify how you know your answer is correct.
r + 3.4 > 13.1
r > 9.7
You must show your work for credit
400
Copy the equation down and solve for w. Show all your works to prove your answer.
78w = 234
w = 3
400
14. Copy this number line and graph the inequality:
x≥1.75
400
19. All the kindergarten students at a school are divided up into 12 classrooms. Each classroom has 15 students. How many total kindergarten students are there?
1. Write an equation with the variable "s" that represents this scenario.
2. Then, find the number of kindergarten students at the school.
equation:
s/12 = 15
or
s=12*15
Answer: 180 students
400
24. Is x=15 a solution to
x/3 + 4 = 9
Yes. (you must explain your answer for credit!)
500
5. Copy down this equation, then solve it. Show your steps to justify how you know your answer is correct.
w - 1/3 = 4/3
w= 5/3
You must show your steps for credit
500
10. Copy down this equation, then solve the equation. Show your steps to justify how you know your answer is correct.
14 = s/9
s=126
500
15. Write an inequality and graph the inequality on the number line.
The minimum cost for a movie ticket is $5.
x≥5
500
20. A tutor works with a group of students. The tutor charges $40 plus $30 for each student in the group. Today the tutor has s students and charges a total of $220.
1. Write an equation with the variable "s" that represents this scenario.
2. Then, find the number of students the tutor works with.
equation: 40+30s=220
s=6
500
25. Given the equation below, is x = 6 a solution?
4x+23 = 7x
You must show your work for credit
No